The excellent point you raise deserves further discussion. It is fresh in my mind as I intend to add this insight to the course I'm preparing for Pittcon.
The buffer capacity (dCx/dpH) can not only be misleading in understanding PRACTICAL strong acid/strong base buffering, but also weak acid buffering as well. (please excuse CAPS, I don't know how to impliment italics) The buffer capacity definition is a mathamatical derivative. In reality, a buffer challenge is an increment of acid or base vastly larger than the imaginary differential amount resuting from the derivative.
Buffer capacity is best understood from examining the titration curve of the species in question. Buffer capacity for additing an increment of strong acid or base is NOT SYMMETRICAL for a strong acid buffer, OR a weak acid buffer, as implied by the differential. That is, the change in pH is, in practice, not the same for adding XX moles of strong base vs strong acid to the buffer, except in the rare case of a weak acid exactly at a pH equal to its pKa.
But the fact remains that Kolthoff has blessed us all to call HCl a buffer at low pH, while we keep in mind how buffers work, least we get burned by a lack of understanding.
I gain insight on this topic every time we argue. I hope we don't hoplessly confuse the audience.